Seminars & Colloquia Calendar

Download as iCal file

Learning Seminar on PDE and Applications

Generalized soap bubbles and the topology of manifolds with positive scalar curvature

Chao, Li, Princeton University

Date & time: Friday, 20 November 2020 at 2:00PM - 4:00PM

Abstract: It has been a classical question which  manifolds admit Riemannian metrics with positive scalar curvature. I will first review some history of this question, and present some recent progress, ruling out positive scalar curvature on closed aspherical manifolds of dimensions 4 and 5 (as conjectured by Schoen-Yau and by Gromov), as well as complete metrics of positive scalar curvature on an arbitrary manifold connect sum with a torus.  Applications include Schoen-Yau Liouville theorem for all locally conformally flat manifolds. The proofs of these results are based on analyzing generalized soap bubbles - surfaces that are stable solutions to the prescribed mean curvature problem.  This talk is based on joint work with O. Chodosh.

Meeting ID 948 4160 4914
Passcode: 654986

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.